Algebra Worksheet

  • Solve these Equations
    1. 7x – 1 = 62
    2. 2x – 3 = 6x – 17
    3. 2(x – 3 ) + 4(2x – 7 ) = 6
    4. 5(2x + 2) = 6(x + 5)
  • ABCD is a rectangle. Find the value of x
  • The perimeter of the triangle is 10cm. Find the value of x
  • Expression A is 18 more than expression B.Find the value of x.
  • Solve these equations.
  • Solve these simultaneous equations.
    1. 4x + 9y = 2
      3x – 9y =33
    2. 5x – 4y  = – 31 
      2x + 4 y  = 10
    3. 2x + 3 y =  33
      6x – 5 y = – 27
  • Seven pens and two pencils cost $6.59. Seven pens and 5 pencils cost $7.55 .Find the cost of a pencil and the cost of a’ pen.
  • A motorist buys 24 liters of petrol and 5 liters of oil for $10.70. While another motorist buys 18 liters of petrol and 10 liters of oil for $12.40. Find the cost of 1 liter of petrol and 1 liter of oil at this garage.
  • Factorize these expressions completely
    1. 36- 12y
    2. 10x2 – 4x
    3. p2 q2 r + p q r +p q2 r
    4. 20a2 b2 c2 – 8 a2 b2 + 16 abc2
  • Make x the subject of these formulae
  • Solve the following questions. Give answer in 2 decimal places.
    1. 3x 2 + 8x – 6 = 0
    2. -5x 2 – 2x + 187 = 0

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